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12003012288 = 2632131159073
BaseRepresentation
bin10110010110110111…
…10110111011000000
31010222111210012102200
423023123312323000
5144040232343123
65303014113200
7603305630631
oct131333667300
933874705380
1012003012288
1150aa429873
1223ab94b800
13119397a947
1481c1a3888
154a3b68143
hex2cb6f6ec0

12003012288 has 84 divisors (see below), whose sum is σ = 34667314968. Its totient is φ = 3970437120.

The previous prime is 12003012247. The next prime is 12003012289. The reversal of 12003012288 is 88221030021.

It is not an unprimeable number, because it can be changed into a prime (12003012289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4081 + ... + 154992.

Almost surely, 212003012288 is an apocalyptic number.

12003012288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12003012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17333657484).

12003012288 is an abundant number, since it is smaller than the sum of its proper divisors (22664302680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12003012288 is a wasteful number, since it uses less digits than its factorization.

12003012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159222 (or 159209 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 12003012288 in words is "twelve billion, three million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 131 144 192 262 288 393 524 576 786 1048 1179 1572 2096 2358 3144 4192 4716 6288 8384 9432 12576 18864 25152 37728 75456 159073 318146 477219 636292 954438 1272584 1431657 1908876 2545168 2863314 3817752 5090336 5726628 7635504 10180672 11453256 15271008 20838563 22906512 30542016 41677126 45813024 62515689 83354252 91626048 125031378 166708504 187547067 250062756 333417008 375094134 500125512 666834016 750188268 1000251024 1333668032 1500376536 2000502048 3000753072 4001004096 6001506144 12003012288